Stephanie Vance's homepage

Stephanie Vance

Office:	C-8-J Padelford Hall
E-mail:	slvance 'at' math.washington.edu
Address:	Department of Mathematics University of Washington Box 354350 Seattle, WA 98195-4350

curriculum vitae

Research Interests

My general research interests lie at the intersection of discrete geometry, algebra, and combinatorics. I am currently working on problems involving lattice sphere packings in Hermitian complex and quaternionic vector spaces. Henry Cohn is my thesis advisor.

Teaching

Math 120 B -- Spring 2009

Math 307 A -- Winter 2009

At TOPS Seward Elementary and Middle school I am also an instructor for a grade 3-6 math enrichment program which I have organized in the past.

For a list of the courses that I have taught over the past five years please see my curriculum vitae.

Recent Talks

"An introduction to lattices and sphere packing problems", given May 22, 2008 at the UW Undergraduate Applied and Computational Mathematical Sciences Seminar.
"A Mordell inequality for Eisenstein and Hurwitz lattices", given March 28, 2008 at the Workshop on Extreme Geometric Structures, Hausdorff Institute, Bonn, Germany.
"Lattices in real, complex and quaternionic vector spaces", given February 5, 2008 at SAGE Days 7 which was hosted by IPAM at UCLA.

Publications and Preprints

A Mordell inequality for lattices over maximal orders, to appear in Transactions of the AMS.
New lower bounds for the sphere packing density in high dimension, (coming soon!)

Some Fun Links

A Catalogue of Lattices, a lattice database maintained by Gabriele Nebe and Neil Sloane.
Figure This!, fun and challenging mathematics problems for middle school students.